- 42 lessons
- 0 quizzes
- 10 week duration
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.
Fractions, Percentage, Ratios and Proportion
Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.
Introduction to Algebra
Functions and Graphs
This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.
- Identify, measure, and calculate different types of straight lines and angles
- Calculate the interior angles of polygons
- Solve problems involving a variety of different types of triangles
- Calculate the area of a variety of different types of quadrilaterals
- Solve problems involving circles
- Calculate the areas and volumes of different solids
Factor a Perfect Square Trinomial
In this unit’s final lesson, we’ll learn how to quickly factor general form quadratics that are considered “perfect square trinomials” (PST). In a PST, the first and last term of these trinomials are always perfect squares. If you don’t recognize the pattern of a PST, you could still factor the quadratic normally by trial-and-error or by decomposition. Therefore, remembering this technique isn’t technically required but if you do recognize the pattern, consider it a shortcut.
Examples of a perfect square trinomials are:
- y = x² + 6x + 9
- Here, √x² = x and √9 = 3
- This factors into (x + 3)²
- y = 4x² +28x + 49
- Here, √4x² = 2x and √49 = 7
- This factors into (2x + 7)²
Two more examples of factoring perfect square trinomials are shown in the video below.
You can factor a perfect square trinomial as:
- a² + 2ab + b² = (a + b)²
- a² – 2ab + b² = (a – b)²